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The polynomial 9−4x2−20xy−25y29-4x^2-20xy-25y^29−4x2−20xy−25y2 can be factorized as (3+ax+by)(3+cx+dy),(3+ax+by)(3+cx+dy),(3+ax+by)(3+cx+dy), where a,a,a, b,b,b, ccc and ddd are real numbers. What is the value of abcdabcdabcd?
What is the value of a+b+ca+b+ca+b+c if x2+8y2−6xy−2yz+zx+4x−16y+4z=(x−ay+b)(x−cy+z)?\begin{aligned} & x^2+8y^2-6xy-2yz+zx+4x-16y+4z \\ &= (x-ay+b)(x-cy+z)? \end{aligned}x2+8y2−6xy−2yz+zx+4x−16y+4z=(x−ay+b)(x−cy+z)?
If aaa, bbb and ccc are real numbers and (x2+2x)2−79(x2+2x)−80=(x+a)2(x+b)(x+c)(x^2+2x)^2-79(x^2+2x)-80=(x+a)^2(x+b)(x+c)(x2+2x)2−79(x2+2x)−80=(x+a)2(x+b)(x+c) is an identity in xxx, what is the value of a+b+ca+b+ca+b+c?
What is the value of a+b+ca+b+ca+b+c if (x2+3x)2+10x2+30x−56=(x−1)(x+a)(x2+bx+c)?\begin{aligned} & (x^2+3x)^2+10x^2+30x-56 \\ &= (x-1)(x+a)(x^2+bx+c)? \end{aligned} (x2+3x)2+10x2+30x−56=(x−1)(x+a)(x2+bx+c)?
What is the value of a+b+ca+b+ca+b+c if x2+5xy+4y2+5x+23y−6=(x+ay−b)(x+y+c)?\begin{aligned} & x^2+5xy+4y^2+5x+23y-6 \\ &= (x+ay-b)(x+y+c)? \end{aligned} x2+5xy+4y2+5x+23y−6=(x+ay−b)(x+y+c)?
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